-------------Exponents-------------

TERMS:

Exponent - The smaller number, such as the four in the example above which determines how many times the base is multiplied by itself.

Base - The number that is multiplied by itself depending on the number of the exponent.

HOW TO FORM EXPONENTS:

• Example: 9 x 9 x 9 x 9 =

=6561

SOLVING WITH NEGATIVE EXPONENTS:

• To solve, you turn the exponent into a fraction with a 1 on top and as you can see from the picture, the four turns positive.

• Then, you solve the exponent (9 to the 4th power)

• After that, you divide (1 divided by 6561).

• Finally, you have your answer (0.000152415).

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HOW TO EVALUATE EXPONENTS:

• To solve, you read the power. Our example shows nine to the fourth power. So you proceed and multiply nine times itself four times.

SIMPLIFYING EXPRESSIONS CONTAINING POWERS:

Example 1:

• 50 - 2(3 x 2 to the third power)

• To solve use the order of operations, so do the parenthesis first.

• 2 to the 3rd power

8=

• 50 - 2(3 x 8)

• 50 - 2 x 24

• 50 - 48

2=

• The answer is 2!

Example 2:

• 67- 7(5 - 2 to the third power)

• Again, use the order of operations.

• 2 to the 3rd power equals 8.

• 67-7(5-8)

• 67-7(-3)

• 67+21

• The answer is 86!

Example 3: Using negative exponents-

• 23-100,000(13 to the negative fifth power)

• 23-100,000(0.000002693)

• 23-0.296

• The answer is 22.704!